Home / 1,122.26-1,685.21-711.59

Finding the Fourth Proportional to 1,122.26, 1,685.21 and 711.59

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Solution

The fourth proportional to 1,122.26, 1,685.21 and 711.59 is: 1,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.26 : 1,685.21 = 711.59 : x
  2. Step 2: Convert to fraction form
    1,122.26/1,685.21 = 711.59/x
  3. Step 3: Cross multiply
    1,122.26x = 1,685.21 × 711.59
  4. Step 4: Simplify right side
    1,122.26x = 1,199,166.60
  5. Step 5: Solve for x
    x = 1,199,166.60/1,122.26
  6. Step 6: Final answer
    x = 1,068.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.